Stability of atoms in the Brown-Ravenhall model

TL;DR

This paper investigates the stability of relativistic atoms modeled by the Brown-Ravenhall framework, establishing the existence of infinitely many bound states for systems with N electrons and a nucleus of charge Z.

Contribution

It proves the existence of an infinite number of discrete eigenvalues for the Brown-Ravenhall model when N <= Z, including a HVZ-type theorem for these systems.

Findings

Existence of infinitely many bound states for N <= Z

Proved a HVZ-type theorem for relativistic atomic systems

Established stability criteria in the Brown-Ravenhall model

Abstract

We consider the Brown--Ravenhall model of a relativistic atom with N electrons and a nucleus of charge Z and prove the existence of an infinite number of discrete eigenvalues for N <= Z. As an intermediate result we prove a HVZ-type theorem for these systems.